3. A rectangular piece of metal that measures 90cm by 60cm has squares cut out of each corner. It is then folded to form an open top box.
A) Let x represent the side length of the squares that are to be cut out of the corners. Draw a diagram to represent piece of metal and the dimensions.
B) Determine an equation for the volume of the box.
C) State the domain for this equation. Briefly explain.
D) Determine the dimensions of the box that will yield maximum volume. Calculate the maximum volume.
